Problem 1.1DQ: How many correct experiments do we need to disprove theory? How many do we need to prove a theory?... Problem 1.2DQ: Suppose you are asked to compute the tangent of 5.00 meters. Is this possible? Why or why not? Problem 1.3DQ: What is your height in centimeters? What is your weight in newtons? Problem 1.4DQ: The U.S. National Institute of Standards and Technology (NIST) maintains several accurate copies of... Problem 1.5DQ: What physical phenomena (other than a pendulum or cesium clock) could you use to define a time... Problem 1.6DQ: Describe how you could measure the thickness of a sheet of paper with an ordinary ruler. Problem 1.7DQ: The quantity = 3.14159... is a number with no dimensions, since it is a ratio of two lengths.... Problem 1.8DQ: What are the units of volume? Suppose another student tells you that a cylinder of radius r and... Problem 1.9DQ: Three archers each fire four arrows at a target. Joes four arrows hit at points 10 cm above, 10 cm... Problem 1.10DQ: Is the vector (i+j+k) a unit vector? Is the vector (3.0 2.0) a unit vector? Justify your answers. Problem 1.11DQ: A circular racetrack has a radius of 500 m. What is the displacement of a bicyclist when she travels... Problem 1.12DQ: Can you find two vectors with different lengths that have a vector sum of zero? What length... Problem 1.13DQ: The direction of time is said to proceed from past to future. Does this mean that time is a vector... Problem 1.14DQ: Air traffic controllers give instructions called vectors to tell airline pilots in which direction... Problem 1.15DQ: Can you find a vector quantity that has a magnitude of zero but components that are not zero?... Problem 1.16DQ: (a) Does it make sense to say that a vector is negative? Why? (b) Does it make sense to say that one... Problem 1.17DQ Problem 1.18DQ: If A and B are nonzero vectors, is it possible for both AB and AB to be zero? Explain. Problem 1.19DQ Problem 1.20DQ: Let A represent any nonzero vector. Why is A/A a unit vector, and what is its direction? If is the... Problem 1.21DQ: Figure 1.7 shows the result of an unacceptable error in the stopping position of a train. If a train... Problem 1.22DQ Problem 1.23DQ: Consider the vector products A (B C) and (AB)C. Give an example that illustrates the general rule... Problem 1.24DQ: Show that, no matter what A and B are, A(AB)=0. (Hint: Do not look for an elaborate mathematical... Problem 1.25DQ Problem 1.26DQ: If A=0 for a vector in the xy-plane, does it follow that Ax= Ay? What can you say about Ax and Ay? Problem 1.1E: Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile and (b)... Problem 1.2E Problem 1.3E: How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful... Problem 1.4E: The density of gold is 19.3 g/cm3. What is this value in kilograms per cubic meter? Problem 1.5E: The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360... Problem 1.6E: A square field measuring 100.0 m by 100.0 m has an area of 1.00 hectare. An acre has an area of... Problem 1.7E Problem 1.8E Problem 1.9E: A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you... Problem 1.10E: The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft... Problem 1.11E: Neptunium. In the fall of 2002, scientists at Los Alamos National Laboratory determined that the... Problem 1.12E: BIO (a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males.... Problem 1.13E: BIO Bacteria. Bacteria vary in size, but a diameter of 2.0 m is not unusual. What are the volume (in... Problem 1.14E: With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 12 mm. With... Problem 1.15E Problem 1.16E: Express each approximation of to six significant figures: (a) 22/7 and (b) 355/113. (c) Are these... Problem 1.17E: BIO A rather ordinary middle-aged man is in the hospital for a routine checkup. The nurse writes 200... Problem 1.18E: How many gallons of gasoline are used in the United States in one day? Assume that there are two... Problem 1.19E: BIO How many times does a typical person blink her eyes in a lifetime? Problem 1.20E: BIO Four astronauts are in a spherical space station. (a) If as is typical, each of them breathes... Problem 1.21E: In Wagners opera Das Rheingold, the goddess Freia is ransomed for a pile of gold just tall enough... Problem 1.22E: BIO How many times does a human heart beat during a persons lifetime? How many gallons of blood does... Problem 1.23E: You are using water to dilute small amounts of chemicals in the laboratory, drop by drop. How many... Problem 1.24E: For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of... Problem 1.25E: A postal employee drives a delivery truck along the route shown in Fig. E1.25. Determine the... Problem 1.26E: A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a... Problem 1.27E: Compute the x- and y-components of the vectors A,B,C and D in Fig. E1.24. Problem 1.28E: Let be the angle that the vector A makes with the +x-axis, measured counterclockwise from that... Problem 1.29E Problem 1.30E: Vector A is in the direction 34.0 clockwise from the y-axis. The x-component of A is Ax = 16.0 m.... Problem 1.31E: For the vectors A and B in Fig. E1.24, use the method of components to find the magnitude and... Problem 1.32E: A postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of... Problem 1.33E: A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 1.50 km south.... Problem 1.34E: Find the magnitude and direction of the vector represented by the following pairs of components: (a)... Problem 1.35E: Vector A is 2.80 cm long and is 60.0 above the x-axis in the first quadrant. Vector B is 1.90 cm... Problem 1.36E: In each case, find the x- and y-components of vector... Problem 1.37E: Write each vector in Fig. E1.24 in terms of the unit vectors i and j. Figure E1.24 Problem 1.38E: Given two vectors A=4.00i+7.00j and B=5.00i2.00j, (a) find the magnitude of each vector; (b) use... Problem 1.39E: (a) Write each vector in Fig. E1.39 in terms of the unit vectors i and j. (b) Use unit vectors to... Problem 1.40E Problem 1.41E: Given two vectors A=2.00i+3.00j+4.00k and B=3.00i+1.00j3.00k, (a) find the magnitude of each vector;... Problem 1.42E: (a) Find the scalar product of the vectors A and B given in Exercise 1.38. (b) Find the angle... Problem 1.43E: For the vectors A,B and C in Fig. E1.24, find the scalar products (a) AB; (b) BC; (c) AC. Problem 1.44E: Find the vector product AB (expressed in unit vectors) of the two vectors given in Exercise 1.38.... Problem 1.45E: Find the angle between each of these pairs of vectors: (a) A=2.00i+6.00j and B=2.00i3.00j (b)... Problem 1.46E: For the two vectors in Fig. E1.35, find the magnitude and direction of (a) the vector product AB;... Problem 1.47E: For the two vectors A and D in Fig. E1.24, find the magnitude and direction of (a) the vector... Problem 1.48E: For the two vectors A and B in Fig. E1.39, find (a) the scalar product AB; (b) the magnitude and... Problem 1.49P Problem 1.50P: An acre has a length of one furlong (18 mi) and a width one-tenth of its length. (a) How many acres... Problem 1.51P: An Earthlike Planet. In January 2006 astronomers reported the discovery of a planet, comparable in... Problem 1.52P: The Hydrogen Maser. A maser is a laser-type device that produces electromagnetic waves with... Problem 1.53P: BIO Breathing Oxygen. The density of air under standard laboratory conditions is 1.29 kg/m3, and... Problem 1.54P: A rectangular piece of aluminum is 7.60 0.01 cm long and 1.90 0.01 cm wide, (a) Find the area of... Problem 1.55P: As you eat your way through a bag of chocolate chip cookies, you observe that each cookie is a... Problem 1.56P Problem 1.57P: BIO Estimate the number of atoms in your body. (Hint: Based on what you know about biology and... Problem 1.58P: Two ropes in a vertical plane exert equal-magnitude forces on a hanging weight but pull with an... Problem 1.59P: Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger... Problem 1.60P: Three horizontal ropes pull on a large stone stuck in the ground, producing the vector forces A,B,,... Problem 1.61P: As noted in Exercise 1.26, a spelunker is surveying a cave. She follows a passage 180 m straight... Problem 1.62P: Emergency Landing. A plane leaves the airport in Galisteo anti flies 170 km at 68.0 cast of north;... Problem 1.63P: BIO Dislocated Shoulder. A patient with a dislocated shoulder is put into a traction apparatus as... Problem 1.64P: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km cast, next 3.50 km... Problem 1.65P: You leave the airport in College Station and fly 23.0 km in a direction 34.0 south of cast. You then... Problem 1.66P: On a training flight, a student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St.... Problem 1.67P: As a test of orienteering skills, your physics class holds a contest in a large, open field. Each... Problem 1.68P: Getting Back. An explorer in Antarctica leaves his shelter during a whiteout. He takes 40 steps... Problem 1.69P: You are lost at night in a large, open field. Your GPS tells you that you are 122.0 m from your... Problem 1.70P: A ship leaves the island of Guam and sails 285 km at 62.0 north of west. In which direction must it... Problem 1.71P: BIO Bones and Muscles. A physical therapy patient has a forearm that weighs 20.5 N and lifts a... Problem 1.72P: You decide to go to your favorite neighborhood restaurant. You leave your apartment, take the... Problem 1.73P: While following a treasure map, you start at an old oak tree. You first walk 825 m directly south,... Problem 1.74P: A fence post is 52.0 m from where you are standing, in a direction 37.0 north of east. A second... Problem 1.75P: A dog in an open field runs 12.0 m cast and then 28.0 m in a direction 50.0 west of north. In what... Problem 1.76P: Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they... Problem 1.77P: You are camping with Joe and Karl. Since all three of you like your privacy, you dont pitch your... Problem 1.78P: Bond Angle in Methane. In the methane molecule, CH4, each hydrogen atom is at a corner of a regular... Problem 1.79P: Vectors A and B have scalar product 6.00, and their vector product has magnitude +9.00. What is the... Problem 1.80P: A cube is placed so that one corner is at the origin and three edges are along the x-y-, and z-axes... Problem 1.81P: Vector A has magnitude 12.0 m, and vector B has magnitude 16.0 m. The scalar product AB is 112.0 m2.... Problem 1.82P Problem 1.83P: The scalar product of vectors A and B is +48.0 m2. Vector A has magnitude 9.00 m and direction 28.0... Problem 1.84P: Two vectors A and B have magnitudes A = 3.00 and B = 3.00. Their vector product is AB=5.00k+2.00i.... Problem 1.85P: You are given vectors A=5.0i6.5j and 3.5i7.0j. A third vector, C, lies in the xy-plane. Vector C is... Problem 1.86P Problem 1.87P: DATA You are a team leader at a pharmaceutical company. Several technicians are preparing samples,... Problem 1.88P: DATA You are a mechanical engineer working for a manufacturing company. Two forces, F1 and F2, act... Problem 1.89P: DATA Navigating in the Solar System. The Mars Polar Lander spacecraft was launched on January 3.... Problem 1.90CP: Completed Pass. The football team at Enormous State University (ESU) uses vector displacements to... Problem 1.91CP: Navigating in the Big Dipper. All of the stars of the Big Dipper (part of the constellation Ursa... Problem 1.92PP: BIO CALCULATING LUNG VOLUME IN HUMANS. In humans, oxygen and carbon dioxide are exchanged in the... Problem 1.93PP: BIO CALCULATING LUNG VOLUME IN HUMANS. In humans, oxygen and carbon dioxide are exchanged in the... Problem 1.94PP: Individuals vary considerably in total lung volume. Figure P1.94 shows the results of measuring the... format_list_bulleted